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Simplifying -59 = -7(p + 1) + 5(6p + 8) Reorder the terms: -59 = -7(1 + p) + 5(6p + 8) -59 = (1 * -7 + p * -7) + 5(6p + 8) -59 = (-7 + -7p) + 5(6p + 8) Reorder the terms: -59 = -7 + -7p + 5(8 + 6p) -59 = -7 + -7p + (8 * 5 + 6p * 5) -59 = -7 + -7p + (40 + 30p) Reorder the terms: -59 = -7 + 40 + -7p + 30p Combine like terms: -7 + 40 = 33 -59 = 33 + -7p + 30p Combine like terms: -7p + 30p = 23p -59 = 33 + 23p Solving -59 = 33 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. -59 + -23p = 33 + 23p + -23p Combine like terms: 23p + -23p = 0 -59 + -23p = 33 + 0 -59 + -23p = 33 Add '59' to each side of the equation. -59 + 59 + -23p = 33 + 59 Combine like terms: -59 + 59 = 0 0 + -23p = 33 + 59 -23p = 33 + 59 Combine like terms: 33 + 59 = 92 -23p = 92 Divide each side by '-23'. p = -4 Simplifying p = -4
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